國立虎尾科技大學 |

Sample - Based Material Structure Modeling.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Sample - Based Material Structure Modeling./
作者:	Liu, Xingchen.
面頁冊數:	1 online resource (176 pages)
附註:	Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
標題:	Mechanical engineering. -
電子資源:	click for full text (PQDT)
ISBN:	9781369767230

Sample - Based Material Structure Modeling.
Liu, Xingchen.

Sample - Based Material Structure Modeling. - 1 online resource (176 pages)

Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.

Thesis (Ph.D.)--The University of Wisconsin - Madison, 2017.

Includes bibliographical references

The paradigm of Sample-based Material Structure Modeling is proposed to facilitate the design and manufacturing of material structures towards desired mechanical properties. By modeling material structure samples via a Markov random field, the proposed paradigm views material structure as a collection of neighborhoods. The abstraction facilitates the reconstruction of both periodic and stochastic material structures and extends to the reconstruction and design of spatially varying material structures, a principal mechanism for creating and controlling spatially varying material properties in nature and engineering. The spatially varying material properties are represented and controlled using the notion of material descriptors which include common geometric, statistical, and topological measures such as correlation functions and Minkowski functionals. The proposed method is of particular advantage in preserving the microscopic geometry and related properties of the material structure sample while achieving target macroscopic property distributions during the design of material structures. For material structures that exhibit anisotropy, properly oriented neighborhoods could greatly enhance the efficiency of the material. The expansion of the design space to include the rotation of neighborhoods is appropriate when the properties that need to be preserved can be safely regarded as rotation invariant. With the assumption of orthotropic symmetry, an automatic way to determine the principal axes of neighborhoods for material structure samples with stochastic orientations is proposed.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369767230Subjects--Topical Terms:

557493
Mechanical engineering.
Index Terms--Genre/Form:

554714
Electronic books.

Sample - Based Material Structure Modeling.
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245 1 0 $a Sample - Based Material Structure Modeling.
264 0 $c 2017
300 $a 1 online resource (176 pages)
336 $a text $b txt $2 rdacontent
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500 $a Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
500 $a Adviser: Vadim Shapiro.
502 $a Thesis (Ph.D.)--The University of Wisconsin - Madison, 2017.
504 $a Includes bibliographical references
520 $a The paradigm of Sample-based Material Structure Modeling is proposed to facilitate the design and manufacturing of material structures towards desired mechanical properties. By modeling material structure samples via a Markov random field, the proposed paradigm views material structure as a collection of neighborhoods. The abstraction facilitates the reconstruction of both periodic and stochastic material structures and extends to the reconstruction and design of spatially varying material structures, a principal mechanism for creating and controlling spatially varying material properties in nature and engineering. The spatially varying material properties are represented and controlled using the notion of material descriptors which include common geometric, statistical, and topological measures such as correlation functions and Minkowski functionals. The proposed method is of particular advantage in preserving the microscopic geometry and related properties of the material structure sample while achieving target macroscopic property distributions during the design of material structures. For material structures that exhibit anisotropy, properly oriented neighborhoods could greatly enhance the efficiency of the material. The expansion of the design space to include the rotation of neighborhoods is appropriate when the properties that need to be preserved can be safely regarded as rotation invariant. With the assumption of orthotropic symmetry, an automatic way to determine the principal axes of neighborhoods for material structure samples with stochastic orientations is proposed.
520 $a A Green's function based homogenization method is investigated for the efficient evaluation of the mechanical properties of neighborhoods. The formulated integral equation is converted into a system of linear equations which is shown to be symmetric and positive definite with the appropriate reference material properties and can be solved efficiently using the conjugate gradient method. The method is verified against physical test results on additively manufactured structures whose material properties are both spatially varying (heterogeneous) and direction dependent (anisotropic). The same formulation also allows the fast estimation of mechanical properties through correlation functions to circumvent the expensive solution of boundary value problems.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mechanical engineering. $3 557493
650 4 $a Computer science. $3 573171
650 4 $a Materials science. $3 557839
655 7 $a Electronic books. $2 local $3 554714
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690 $a 0984
690 $a 0794
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The University of Wisconsin - Madison. $b Mechanical Engineering. $3 1148705
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